کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1897081 | 1044487 | 2009 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
From the conserved Kuramoto-Sivashinsky equation to a coalescing particles model
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: From the conserved Kuramoto-Sivashinsky equation to a coalescing particles model From the conserved Kuramoto-Sivashinsky equation to a coalescing particles model](/preview/png/1897081.png)
چکیده انگلیسی
The conserved Kuramoto-Sivashinsky (CKS) equation, âtu=ââxx(u+uxx+ux2), has recently been derived in the context of crystal growth, and it is also strictly related to a similar equation appearing, e.g., in sand-ripple dynamics. We show that this equation can be mapped into the motion of a system of particles with attractive interactions, decaying as the inverse of their distance. Particles represent vanishing regions of diverging curvature, joined by arcs of a single parabola, and coalesce upon encounter. The coalescing particles model is easier to simulate than the original CKS equation. The growing interparticle distance â represents coarsening of the system, and we are able to establish firmly the scaling âÌ(t)â¼t. We obtain its probability distribution function, g(â), numerically, and study it analytically within the hypothesis of uncorrelated intervals, finding an overestimate at large distances. Finally, we introduce a method based on coalescence waves which might be useful to gain better analytical insights into the model.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 238, Issue 2, 15 January 2009, Pages 156-161
Journal: Physica D: Nonlinear Phenomena - Volume 238, Issue 2, 15 January 2009, Pages 156-161
نویسندگان
Paolo Politi, Daniel ben-Avraham,